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Finding the Fourth Proportional to 1,356.93, 1,872.45 and 767.48

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Solution

The fourth proportional to 1,356.93, 1,872.45 and 767.48 is: 1,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.93 : 1,872.45 = 767.48 : x
  2. Step 2: Convert to fraction form
    1,356.93/1,872.45 = 767.48/x
  3. Step 3: Cross multiply
    1,356.93x = 1,872.45 × 767.48
  4. Step 4: Simplify right side
    1,356.93x = 1,437,058.56
  5. Step 5: Solve for x
    x = 1,437,058.56/1,356.93
  6. Step 6: Final answer
    x = 1,059.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.